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120102012000 = 2532533336167
BaseRepresentation
bin110111111011010100…
…0110100010001100000
3102111000010010100122200
41233312220310101200
53431432103341000
6131101334533200
711451145154325
oct1576650642140
9374003110580
10120102012000
1146a31500263
121b339b07200
13b4303838b9
145b54adcb4c
1531cde06500
hex1bf6a34460

120102012000 has 144 divisors (see below), whose sum is σ = 426242168352. Its totient is φ = 32027193600.

The previous prime is 120102011983. The next prime is 120102012061. The reversal of 120102012000 is 210201021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632084 + ... + 1704083.

It is an arithmetic number, because the mean of its divisors is an integer number (2960015058).

Almost surely, 2120102012000 is an apocalyptic number.

120102012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102012000 is an abundant number, since it is smaller than the sum of its proper divisors (306140156352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120102012000 is a wasteful number, since it uses less digits than its factorization.

120102012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336198 (or 3336177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120102012000 its reverse (210201021), we get a palindrome (120312213021).

The spelling of 120102012000 in words is "one hundred twenty billion, one hundred two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 3336167 6672334 10008501 13344668 16680835 20017002 26689336 30025503 33361670 40034004 50042505 53378672 60051006 66723340 80068008 83404175 100085010 106757344 120102012 133446680 150127515 160136016 166808350 200170020 240204024 250212525 266893360 300255030 320272032 333616700 400340040 417020875 480408048 500425050 533786720 600510060 667233400 750637575 800680080 834041750 960816096 1000850100 1201020120 1251062625 1334466800 1501275150 1601360160 1668083500 2001700200 2402040240 2502125250 2668933600 3002550300 3336167000 3753187875 4003400400 4804080480 5004250500 6005100600 6672334000 7506375750 8006800800 10008501000 12010201200 13344668000 15012751500 20017002000 24020402400 30025503000 40034004000 60051006000 120102012000